Lattices of Fixed Points of Fuzzy Galois Connections

We give a characterization of the fixed points and of the lattices of fixed points of fuzzy Galois connections. It is shown that fixed points are naturally interpreted as concepts in the sense of traditional logic.

[1]  Radim Belohlávek,et al.  Fuzzy Galois Connections , 1999, Math. Log. Q..

[2]  P. Nicole,et al.  La logique, ou, L'art de penser , 1993 .

[3]  U. Höhle.  On the Fundamentals of Fuzzy Set Theory , 1996 .

[4]  J. Goguen.  L-fuzzy sets , 1967 .

[5]  Petr Hájek,et al.  Metamathematics of Fuzzy Logic , 1998, Trends in Logic.

[6]  Emil Popescu,et al.  On Galois Connexions , 1994 .